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Finding the Third Proportional to 1,114,915 and 1,682,822

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Solution

The third proportional to 1,114,915 and 1,682,822 is: 2,540,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,915 : 1,682,822 = 1,682,822 : x
  2. Step 2: Convert to fraction form
    1,114,915/1,682,822 = 1,682,822/x
  3. Step 3: Cross multiply
    1,114,915x = 1,682,822 × 1,682,822
  4. Step 4: Simplify right side
    1,114,915x = 2,831,889,883,684
  5. Step 5: Solve for x
    x = 2,831,889,883,684/1,114,915
  6. Step 6: Final answer
    x = 2,540,005.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.